Ratios equivalent to 4:3 would be 8:6 16:12 and 24:18
Step-by-step explanation:
area = length x width
area = 1,792 sq cm
length = 56 sq cm
width = ?
equation = 1,792-56= 1,736
Answer:
1,736 sq cm
Step-by-step explanation:
(a) dP/dt = kP (1 − P/L)
L is the carrying capacity (20 billion = 20,000 million).
Since P₀ is small compared to L, we can approximate the initial rate as:
(dP/dt)₀ ≈ kP₀
Using the maximum birth rate and death rate, the initial growth rate is 40 mil/year − 20 mil/year = 20 mil/year.
20 = k (6,100)
k = 1/305
dP/dt = 1/305 P (1 − (P/20,000))
(b) P(t) = 20,000 / (1 + Ce^(-t/305))
6,100 = 20,000 / (1 + C)
C = 2.279
P(t) = 20,000 / (1 + 2.279e^(-t/305))
P(10) = 20,000 / (1 + 2.279e^(-10/305))
P(10) = 6240 million
P(10) = 6.24 billion
This is less than the actual population of 6.9 billion.
(c) P(100) = 20,000 / (1 + 2.279e^(-100/305))
P(100) = 7570 million = 7.57 billion
P(600) = 20,000 / (1 + 2.279e^(-600/305))
P(600) = 15170 million = 15.17 billion
First, distribute the 7:
7w + 14 + 0.5w = 5
Combine like terms:
7.5w + 14 = 5
7.5w = -9
Divide both sides by 7.5 to solve for w:
w = -9/7.5 = -1.2
The answer is -1.2
